1 citations · 1 across the 6 of their papers we have counts for
8 papers
New Bounds on Distributional Sectional Category and Applications to Distributional Homotopic Distance
Navnath Daundkar, J. M. García-Calcines
In this paper, we establish several new bounds for the distributional sectional category (). We first prove Jauhari's conjecture, thereby establishing a cohomologi…
Equivariant homotopic distance
Navnath Daundkar, J. M. García-Calcines
We introduce and study the notion of \emph{equivariant homotopic distance} between -maps . We show that the equivariant Lusternik-Schnirelmann cat…
Parametrized homotopic distance
Navnath Daundkar, J. M. García-Calcines
We introduce the concept of parametrized homotopic distance, extending the classical notion of homotopic distance to the fibrewise setting. We establish its correspondence with the…
Generalized topological complexity and its monoidal version
J. M. García-Calcines
In the context of the Lusternik-Schnirelmann category, researcher T. Srinivasan demonstrated that when the space under consideration is an absolute neighborhood retract, its catego…
Classification of exterior and proper fibrations
Jose Manuel García-Calcines, Pedro Ruymán García-Díaz, Aniceto Murillo
We classify exterior fibrations in the exterior homotopy category. As a result we also classify proper fibrations between CW-complexes.
A note on covers defining relative and sectional categories
Jose Manuel García-Calcines
We give a characterization of relative category in the sense of Doeraene-El Haouari by using open covers. We also prove that relative category and sectional category can be defined…
Cofinite subsets and double negation topologies on locales of filters and ideals
Luis Español, José Manuel García-Calcines, M. Carmen Mínguez
We study the role of the filter of cofinite subsets of in the locale of all filters on , by means of the double negation topology of $\…
Regions of attraction, limits and end points of an exterior discrete semi-flow
J. M. García-Calcines, L. J. Hernández, M. Marañón +1
An exterior space is a topological space provided with a quasi-filter of open subsets (closed by finite intersections). In this work, we analyze some relations between the notion o…